TSTP Solution File: SYN713-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 06:13:30 EDT 2022

% Result   : Unsatisfiable 6.54s 1.22s
% Output   : CNFRefutation 6.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 23:16:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.39  # No SInE strategy applied
% 0.14/0.39  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.39  #
% 0.14/0.39  # Presaturation interreduction done
% 0.14/0.39  # Number of axioms: 105 Number of unprocessed: 105
% 0.14/0.39  # Tableaux proof search.
% 0.14/0.39  # APR header successfully linked.
% 0.14/0.39  # Hello from C++
% 0.14/0.40  # The folding up rule is enabled...
% 0.14/0.40  # Local unification is enabled...
% 0.14/0.40  # Any saturation attempts will use folding labels...
% 0.14/0.40  # 105 beginning clauses after preprocessing and clausification
% 0.14/0.40  # Creating start rules for all 105 conjectures.
% 0.14/0.40  # There are 105 start rule candidates:
% 0.14/0.40  # Found 40 unit axioms.
% 0.14/0.40  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.40  # 105 start rule tableaux created.
% 0.14/0.40  # 65 extension rule candidate clauses
% 0.14/0.40  # 40 unit axiom clauses
% 0.14/0.40  
% 0.14/0.40  # Requested 8, 32 cores available to the main process.
% 6.54/1.22  # There were 2 total branch saturation attempts.
% 6.54/1.22  # There were 0 of these attempts blocked.
% 6.54/1.22  # There were 0 deferred branch saturation attempts.
% 6.54/1.22  # There were 0 free duplicated saturations.
% 6.54/1.22  # There were 1 total successful branch saturations.
% 6.54/1.22  # There were 0 successful branch saturations in interreduction.
% 6.54/1.22  # There were 0 successful branch saturations on the branch.
% 6.54/1.22  # There were 1 successful branch saturations after the branch.
% 6.54/1.22  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.22  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.22  # Begin clausification derivation
% 6.54/1.22  
% 6.54/1.22  # End clausification derivation
% 6.54/1.22  # Begin listing active clauses obtained from FOF to CNF conversion
% 6.54/1.22  cnf(i_0_106, negated_conjecture, (p10(X1,X1))).
% 6.54/1.22  cnf(i_0_140, negated_conjecture, (p59(f38(c72,c77),f35(c73,c68)))).
% 6.54/1.22  cnf(i_0_141, negated_conjecture, (p56(f5(c61,f8(c62,c63)),c64))).
% 6.54/1.22  cnf(i_0_107, negated_conjecture, (p9(X1,X1))).
% 6.54/1.22  cnf(i_0_108, negated_conjecture, (p7(X1,X1))).
% 6.54/1.22  cnf(i_0_109, negated_conjecture, (p6(X1,X1))).
% 6.54/1.22  cnf(i_0_110, negated_conjecture, (p54(X1,X1))).
% 6.54/1.22  cnf(i_0_111, negated_conjecture, (p53(X1,X1))).
% 6.54/1.22  cnf(i_0_112, negated_conjecture, (p51(X1,X1))).
% 6.54/1.22  cnf(i_0_113, negated_conjecture, (p49(X1,X1))).
% 6.54/1.22  cnf(i_0_142, negated_conjecture, (p13(f23(c69,c67),f19(f22(c70,c69),c68)))).
% 6.54/1.22  cnf(i_0_143, negated_conjecture, (p56(f11(c65,f14(f17(c66,c67),c68)),c64))).
% 6.54/1.22  cnf(i_0_114, negated_conjecture, (p48(X1,X1))).
% 6.54/1.22  cnf(i_0_115, negated_conjecture, (p46(X1,X1))).
% 6.54/1.22  cnf(i_0_116, negated_conjecture, (p44(X1,X1))).
% 6.54/1.22  cnf(i_0_117, negated_conjecture, (p43(X1,X1))).
% 6.54/1.22  cnf(i_0_118, negated_conjecture, (p42(X1,X1))).
% 6.54/1.22  cnf(i_0_119, negated_conjecture, (p40(X1,X1))).
% 6.54/1.22  cnf(i_0_120, negated_conjecture, (p4(X1,X1))).
% 6.54/1.22  cnf(i_0_121, negated_conjecture, (p39(X1,X1))).
% 6.54/1.22  cnf(i_0_122, negated_conjecture, (p37(X1,X1))).
% 6.54/1.22  cnf(i_0_123, negated_conjecture, (p36(X1,X1))).
% 6.54/1.22  cnf(i_0_124, negated_conjecture, (p34(X1,X1))).
% 6.54/1.22  cnf(i_0_125, negated_conjecture, (p32(X1,X1))).
% 6.54/1.22  cnf(i_0_126, negated_conjecture, (p30(X1,X1))).
% 6.54/1.22  cnf(i_0_127, negated_conjecture, (p3(X1,X1))).
% 6.54/1.22  cnf(i_0_128, negated_conjecture, (p29(X1,X1))).
% 6.54/1.22  cnf(i_0_129, negated_conjecture, (p27(X1,X1))).
% 6.54/1.22  cnf(i_0_130, negated_conjecture, (p25(X1,X1))).
% 6.54/1.22  cnf(i_0_131, negated_conjecture, (p24(X1,X1))).
% 6.54/1.22  cnf(i_0_132, negated_conjecture, (p21(X1,X1))).
% 6.54/1.22  cnf(i_0_133, negated_conjecture, (p20(X1,X1))).
% 6.54/1.22  cnf(i_0_134, negated_conjecture, (p2(X1,X1))).
% 6.54/1.22  cnf(i_0_135, negated_conjecture, (p18(X1,X1))).
% 6.54/1.22  cnf(i_0_136, negated_conjecture, (p16(X1,X1))).
% 6.54/1.22  cnf(i_0_137, negated_conjecture, (p15(X1,X1))).
% 6.54/1.22  cnf(i_0_138, negated_conjecture, (p13(X1,X1))).
% 6.54/1.22  cnf(i_0_139, negated_conjecture, (p12(X1,X1))).
% 6.54/1.22  cnf(i_0_144, negated_conjecture, (~p57(f26(f28(c71,f41(c78,c64)),c67),c77))).
% 6.54/1.22  cnf(i_0_185, negated_conjecture, (~p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)))).
% 6.54/1.22  cnf(i_0_145, negated_conjecture, (p10(X1,X2)|~p10(X3,X2)|~p10(X3,X1))).
% 6.54/1.22  cnf(i_0_146, negated_conjecture, (p9(X1,X2)|~p9(X3,X2)|~p9(X3,X1))).
% 6.54/1.22  cnf(i_0_147, negated_conjecture, (p7(X1,X2)|~p7(X3,X2)|~p7(X3,X1))).
% 6.54/1.22  cnf(i_0_148, negated_conjecture, (p6(X1,X2)|~p6(X3,X2)|~p6(X3,X1))).
% 6.54/1.22  cnf(i_0_179, negated_conjecture, (p57(f26(f28(c71,X1),X2),X3)|~p57(f26(X1,X2),X3))).
% 6.54/1.22  cnf(i_0_206, negated_conjecture, (p57(f26(f41(c78,X1),X2),X3)|~p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1))).
% 6.54/1.22  cnf(i_0_207, negated_conjecture, (p57(f52(f55(c79,X1),X2),X3)|~p60(f45(c80,f47(f50(c81,X2),f23(c74,X3))),X1))).
% 6.54/1.22  cnf(i_0_149, negated_conjecture, (p54(X1,X2)|~p54(X3,X2)|~p54(X3,X1))).
% 6.54/1.22  cnf(i_0_150, negated_conjecture, (p53(X1,X2)|~p53(X3,X2)|~p53(X3,X1))).
% 6.54/1.22  cnf(i_0_151, negated_conjecture, (p51(X1,X2)|~p51(X3,X2)|~p51(X3,X1))).
% 6.54/1.22  cnf(i_0_152, negated_conjecture, (p49(X1,X2)|~p49(X3,X2)|~p49(X3,X1))).
% 6.54/1.22  cnf(i_0_153, negated_conjecture, (p48(X1,X2)|~p48(X3,X2)|~p48(X3,X1))).
% 6.54/1.22  cnf(i_0_154, negated_conjecture, (p46(X1,X2)|~p46(X3,X2)|~p46(X3,X1))).
% 6.54/1.22  cnf(i_0_155, negated_conjecture, (p44(X1,X2)|~p44(X3,X2)|~p44(X3,X1))).
% 6.54/1.22  cnf(i_0_156, negated_conjecture, (p43(X1,X2)|~p43(X3,X2)|~p43(X3,X1))).
% 6.54/1.22  cnf(i_0_157, negated_conjecture, (p42(X1,X2)|~p42(X3,X2)|~p42(X3,X1))).
% 6.54/1.22  cnf(i_0_158, negated_conjecture, (p40(X1,X2)|~p40(X3,X2)|~p40(X3,X1))).
% 6.54/1.22  cnf(i_0_159, negated_conjecture, (p4(X1,X2)|~p4(X3,X2)|~p4(X3,X1))).
% 6.54/1.22  cnf(i_0_160, negated_conjecture, (p39(X1,X2)|~p39(X3,X2)|~p39(X3,X1))).
% 6.54/1.22  cnf(i_0_161, negated_conjecture, (p37(X1,X2)|~p37(X3,X2)|~p37(X3,X1))).
% 6.54/1.22  cnf(i_0_162, negated_conjecture, (p36(X1,X2)|~p36(X3,X2)|~p36(X3,X1))).
% 6.54/1.22  cnf(i_0_163, negated_conjecture, (p34(X1,X2)|~p34(X3,X2)|~p34(X3,X1))).
% 6.54/1.22  cnf(i_0_164, negated_conjecture, (p32(X1,X2)|~p32(X3,X2)|~p32(X3,X1))).
% 6.54/1.22  cnf(i_0_165, negated_conjecture, (p30(X1,X2)|~p30(X3,X2)|~p30(X3,X1))).
% 6.54/1.22  cnf(i_0_166, negated_conjecture, (p3(X1,X2)|~p3(X3,X2)|~p3(X3,X1))).
% 6.54/1.22  cnf(i_0_167, negated_conjecture, (p29(X1,X2)|~p29(X3,X2)|~p29(X3,X1))).
% 6.54/1.22  cnf(i_0_168, negated_conjecture, (p27(X1,X2)|~p27(X3,X2)|~p27(X3,X1))).
% 6.54/1.22  cnf(i_0_169, negated_conjecture, (p25(X1,X2)|~p25(X3,X2)|~p25(X3,X1))).
% 6.54/1.22  cnf(i_0_170, negated_conjecture, (p24(X1,X2)|~p24(X3,X2)|~p24(X3,X1))).
% 6.54/1.22  cnf(i_0_171, negated_conjecture, (p21(X1,X2)|~p21(X3,X2)|~p21(X3,X1))).
% 6.54/1.22  cnf(i_0_172, negated_conjecture, (p20(X1,X2)|~p20(X3,X2)|~p20(X3,X1))).
% 6.54/1.22  cnf(i_0_173, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 6.54/1.22  cnf(i_0_174, negated_conjecture, (p18(X1,X2)|~p18(X3,X2)|~p18(X3,X1))).
% 6.54/1.22  cnf(i_0_175, negated_conjecture, (p16(X1,X2)|~p16(X3,X2)|~p16(X3,X1))).
% 6.54/1.22  cnf(i_0_176, negated_conjecture, (p15(X1,X2)|~p15(X3,X2)|~p15(X3,X1))).
% 6.54/1.22  cnf(i_0_177, negated_conjecture, (p13(X1,X2)|~p13(X3,X2)|~p13(X3,X1))).
% 6.54/1.22  cnf(i_0_178, negated_conjecture, (p12(X1,X2)|~p12(X3,X2)|~p12(X3,X1))).
% 6.54/1.22  cnf(i_0_186, negated_conjecture, (p10(f14(X1,X2),f14(X3,X4))|~p12(X1,X3)|~p13(X2,X4))).
% 6.54/1.22  cnf(i_0_209, negated_conjecture, (p56(f11(c65,f14(f17(c66,X1),f23(c74,X2))),X3)|~p57(f26(f41(c78,X3),X1),X2))).
% 6.54/1.22  cnf(i_0_208, negated_conjecture, (p60(f45(c80,f47(f50(c81,X1),f23(c74,X2))),X3)|~p57(f52(f55(c79,X3),X1),X2))).
% 6.54/1.22  cnf(i_0_210, negated_conjecture, (p58(f31(f33(c75,c76),f23(c69,X1)),f19(f22(c70,c69),X2))|p13(X2,f23(c74,X1))|~p59(f38(c72,X1),f35(c73,X2)))).
% 6.54/1.22  cnf(i_0_187, negated_conjecture, (p51(f55(X1,X2),f55(X3,X4))|~p53(X1,X3)|~p54(X2,X4))).
% 6.54/1.22  cnf(i_0_184, negated_conjecture, (p59(X1,X2)|~p59(X3,X4)|~p25(X4,X2)|~p37(X3,X1))).
% 6.54/1.22  cnf(i_0_188, negated_conjecture, (p46(f50(X1,X2),f50(X3,X4))|~p48(X1,X3)|~p49(X2,X4))).
% 6.54/1.22  cnf(i_0_181, negated_conjecture, (p56(X1,X2)|~p56(X3,X4)|~p4(X3,X1)|~p40(X4,X2))).
% 6.54/1.22  cnf(i_0_182, negated_conjecture, (p57(X1,X2)|~p57(X3,X4)|~p16(X4,X2)|~p25(X3,X1))).
% 6.54/1.22  cnf(i_0_180, negated_conjecture, (p60(X1,X2)|~p60(X3,X4)|~p44(X3,X1)|~p54(X4,X2))).
% 6.54/1.22  cnf(i_0_183, negated_conjecture, (p58(X1,X2)|~p58(X3,X4)|~p13(X4,X2)|~p30(X3,X1))).
% 6.54/1.22  cnf(i_0_189, negated_conjecture, (p44(f45(X1,X2),f45(X3,X4))|~p42(X1,X3)|~p43(X2,X4))).
% 6.54/1.22  cnf(i_0_190, negated_conjecture, (p43(f47(X1,X2),f47(X3,X4))|~p13(X2,X4)|~p46(X1,X3))).
% 6.54/1.22  cnf(i_0_191, negated_conjecture, (p4(f5(X1,X2),f5(X3,X4))|~p2(X1,X3)|~p3(X2,X4))).
% 6.54/1.22  cnf(i_0_192, negated_conjecture, (p4(f11(X1,X2),f11(X3,X4))|~p9(X1,X3)|~p10(X2,X4))).
% 6.54/1.22  cnf(i_0_193, negated_conjecture, (p37(f38(X1,X2),f38(X3,X4))|~p16(X2,X4)|~p36(X1,X3))).
% 6.54/1.22  cnf(i_0_194, negated_conjecture, (p30(f31(X1,X2),f31(X3,X4))|~p13(X2,X4)|~p29(X1,X3))).
% 6.54/1.22  cnf(i_0_195, negated_conjecture, (p3(f8(X1,X2),f8(X3,X4))|~p6(X1,X3)|~p7(X2,X4))).
% 6.54/1.22  cnf(i_0_196, negated_conjecture, (p29(f33(X1,X2),f33(X3,X4))|~p29(X2,X4)|~p32(X1,X3))).
% 6.54/1.22  cnf(i_0_198, negated_conjecture, (p25(f35(X1,X2),f35(X3,X4))|~p13(X2,X4)|~p34(X1,X3))).
% 6.54/1.22  cnf(i_0_199, negated_conjecture, (p25(f26(X1,X2),f26(X3,X4))|~p16(X2,X4)|~p24(X1,X3))).
% 6.54/1.22  cnf(i_0_197, negated_conjecture, (p25(f52(X1,X2),f52(X3,X4))|~p49(X2,X4)|~p51(X1,X3))).
% 6.54/1.22  cnf(i_0_200, negated_conjecture, (p24(f41(X1,X2),f41(X3,X4))|~p39(X1,X3)|~p40(X2,X4))).
% 6.54/1.22  cnf(i_0_201, negated_conjecture, (p24(f28(X1,X2),f28(X3,X4))|~p24(X2,X4)|~p27(X1,X3))).
% 6.54/1.22  cnf(i_0_202, negated_conjecture, (p18(f22(X1,X2),f22(X3,X4))|~p20(X1,X3)|~p21(X2,X4))).
% 6.54/1.22  cnf(i_0_203, negated_conjecture, (p13(f23(X1,X2),f23(X3,X4))|~p16(X2,X4)|~p21(X1,X3))).
% 6.54/1.22  cnf(i_0_204, negated_conjecture, (p13(f19(X1,X2),f19(X3,X4))|~p13(X2,X4)|~p18(X1,X3))).
% 6.54/1.22  cnf(i_0_205, negated_conjecture, (p12(f17(X1,X2),f17(X3,X4))|~p15(X1,X3)|~p16(X2,X4))).
% 6.54/1.22  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 6.54/1.22  # Begin printing tableau
% 6.54/1.22  # Found 11 steps
% 6.54/1.22  cnf(i_0_205, negated_conjecture, (p12(f17(c66,c67),f17(c66,c67))|~p15(c66,c66)|~p16(c67,c67)), inference(start_rule)).
% 6.54/1.22  cnf(i_0_212, plain, (~p15(c66,c66)), inference(closure_rule, [i_0_137])).
% 6.54/1.22  cnf(i_0_213, plain, (~p16(c67,c67)), inference(closure_rule, [i_0_136])).
% 6.54/1.22  cnf(i_0_211, plain, (p12(f17(c66,c67),f17(c66,c67))), inference(extension_rule, [i_0_186])).
% 6.54/1.22  cnf(i_0_532, plain, (~p13(c68,c68)), inference(closure_rule, [i_0_138])).
% 6.54/1.22  cnf(i_0_530, plain, (p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),c68))), inference(extension_rule, [i_0_192])).
% 6.54/1.22  cnf(i_0_573, plain, (~p9(c65,c65)), inference(closure_rule, [i_0_107])).
% 6.54/1.22  cnf(i_0_572, plain, (p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),c68)))), inference(extension_rule, [i_0_181])).
% 6.54/1.22  cnf(i_0_40810, plain, (~p56(f11(c65,f14(f17(c66,c67),c68)),c64)), inference(closure_rule, [i_0_143])).
% 6.54/1.22  cnf(i_0_40812, plain, (~p40(c64,c64)), inference(closure_rule, [i_0_119])).
% 6.54/1.22  cnf(i_0_40809, plain, (p56(f11(c65,f14(f17(c66,c67),c68)),c64)), inference(etableau_closure_rule, [i_0_40809, ...])).
% 6.54/1.22  # End printing tableau
% 6.54/1.22  # SZS output end
% 6.54/1.22  # Branches closed with saturation will be marked with an "s"
% 6.54/1.22  # Child (14172) has found a proof.
% 6.54/1.22  
% 6.54/1.22  # Proof search is over...
% 6.54/1.22  # Freeing feature tree
%------------------------------------------------------------------------------